G-birationally rigid cubic threefolds
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910157364002816 |
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| author | Cheltsov, Ivan Krylov, Igor Ma'u, Sione |
| author_facet | Cheltsov, Ivan Krylov, Igor Ma'u, Sione |
| contents | We classify pairs $(X,G)$ consisting of a (possibly singular) cubic threefold $X\subset\mathbb{P}^4$ and a finite subgroup $G\subset\mathrm{Aut}(X)$ such that $X$ is $G$-birationally rigid, i.e., $X$ is a $G$-Mori fiber space (over a point), and $X$ is not $G$-birational to any $G$-Mori fibre space that is not $G$-biregular to $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20426 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | G-birationally rigid cubic threefolds Cheltsov, Ivan Krylov, Igor Ma'u, Sione Algebraic Geometry We classify pairs $(X,G)$ consisting of a (possibly singular) cubic threefold $X\subset\mathbb{P}^4$ and a finite subgroup $G\subset\mathrm{Aut}(X)$ such that $X$ is $G$-birationally rigid, i.e., $X$ is a $G$-Mori fiber space (over a point), and $X$ is not $G$-birational to any $G$-Mori fibre space that is not $G$-biregular to $X$. |
| title | G-birationally rigid cubic threefolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2604.20426 |